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2020206240 = 2532513311347
BaseRepresentation
bin111100001101001…
…1110011010100000
312012210101002222100
41320122132122200
513114133044430
6532244010400
7101030320053
oct17032363240
95183332870
102020206240
11947398938
12484690a00
13262700610
14152438a9a
15bc554960
hex7869e6a0

2020206240 has 288 divisors, whose sum is σ = 7469594496. Its totient is φ = 494254080.

The previous prime is 2020206191. The next prime is 2020206241. The reversal of 2020206240 is 426020202.

It is a happy number.

2020206240 is a `hidden beast` number, since 2 + 0 + 20 + 20 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2020206241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5821747 + ... + 5822093.

It is an arithmetic number, because the mean of its divisors is an integer number (25936092).

Almost surely, 22020206240 is an apocalyptic number.

2020206240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2020206240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3734797248).

2020206240 is an abundant number, since it is smaller than the sum of its proper divisors (5449388256).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2020206240 is a wasteful number, since it uses less digits than its factorization.

2020206240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 692 (or 681 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2020206240 is about 44946.7044398140. The cubic root of 2020206240 is about 1264.1498847523.

Adding to 2020206240 its reverse (426020202), we get a palindrome (2446226442).

The spelling of 2020206240 in words is "two billion, twenty million, two hundred six thousand, two hundred forty".